Algebra 1 Air Test Practice

A system of equations is given: katex latex="y=2x+5" katex latex="y=\frac{1}{4}x-\frac{1}{4}" What is the solution of the system?

• (-3,-1)

• (3,1)

• (-3,1)

• (0,9)

To start out her comic book collection, Joylin's uncle gives Joylin a box of comic books and several monthly subscriptions to comic books. The number of comic books in her collection, y, after x months is modeled by the equation shown: y=40+6x What does the number 40 represent in this equation?

• The price of a comic book subscription

• The number of months of Joylin's subscriptions

• The number of comic books in the box she received

• The number of title subscriptions Joylin received each month

Which statement best describes the function?

• A

• B

• C

• D

What is the domain of the function?

Juan buys peaches and grapefruit at the store. He writes the equations shown to model the relationship between the number of pound of peaches, p, and the number of pounds of grapefruit, g, that he buys:

p+g=2.5

1.58p+1.09g=3.46

What is the total number of pounds of peaches and grapefruit that Juan buys?

• 2.5

• 3

• 3.46

• 1.09

Emerson has $120. Each week, he saves an additional $15. Write a function f(x) that models the total amount of money Emerson has after x weeks.

• f(x)=130x

• f(x)=120+15x

• f(x)=15x

• F(x)=120x+15

• a

• b

• c

• d

• a

• b

• c

• d

Samantha sells two types of wristbands, rope or beaded. She charges more for beaded wristbands than for rope wristbands. The amount of money, in dollars, that she collects from selling x wristbands of one type and y wristbands of the other type can be modeled by the expression 5x + 8y. What does the variable y represent in this situation?

• The number of rope wristbands sold

• The number of beaded wristbands sold

• The selling price of one rope wristband

• The selling price of one beaded wristband

Juan wants to rent a house. He gathers data on many similar houses. The distance from the center of the city, x, and the monthly rent for each house, y, are shown in the scatter plot. Juan models the data with a linear equation. What could the number 1275 represent in this context?

• The estimated rent for a house in the center of the city

• The estimated minimum rent for a house far from the center of the city

• The estimated change in rent for each additional mile from the center of the city

• The estimated change in distance from the center of the city for each dollar change in rent